Zero; they never intersect and therefore they do not have a solution.
A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the two lines. If the lines don't intersect (parallel) then there can be no solution.
= parallel + perpendicular As such no, perpendicular lines do not naturally have parallel lines. However...connect the lines in the symbols below. ++ ++ And you'll have 4 perpendicular lines, and 4 parallel lines.
No, parallel lines do not intersect, and never will.
Lines that meet are not parallel, and parallel lines never meet.
Zero; they never intersect and therefore they do not have a solution.
No, if two lines are parallel they will not have a solution.
A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the two lines. If the lines don't intersect (parallel) then there can be no solution.
Correct. Unless the parallel lines are coincident, in which case the solution set is the whole line.
Parallel lines never meet and so parallel equations do not have any simultaneous solution.
one solution; the lines that represent the equations intersect an infinite number of solution; the lines coincide, or no solution; the lines are parallel
No Solutions
There will be o solutions.
When the lines never intersect, usually when they are parallel.
NO! A linear system can only have one solution (the lines intersect at one point), no solution (the lines are parallel), and infinitely many solutions (the lines are equivalent).
infinitely many solutions :)
If the lines intersect, then the intersection point is the solution of the system. If the lines coincide, then there are infinite number of the solutions for the system. If the lines are parallel, there is no solution for the system.